| 一类传染病动力学时滞模型的分析 |
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| 引用本文： | 唐荣荣.一类传染病动力学时滞模型的分析[J].生物数学学报,2010(2):287-293. |
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| 作者姓名： | 唐荣荣 |
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| 作者单位： | [1]湖州师范学院理学院,浙江湖州313000 [2]上海高校计算科学E-研究院上海交通大学研究所,上海200240 |
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| 基金项目： | 浙江省自然科学基金资助（Y6090164）;湖州市自然科学基金资助（2010YZ05） |
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| 摘 要： | 研究了一类传染病动力学模型,用摄动理论讨论了相应的非线性时滞问题,得到了被传染病感染的人群数与健康人群数比例的变化规律的渐近表达式,从而揭示了传染病的潜伏期和传染期对疾病传播的影响和作用.本文的研究为解决这一类非线性时滞模型提供了一种有效的方法.
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| 关 键 词： | 传染期 潜伏期 动力学模型 摄动 时滞 |
The Analysis for a Class of Dynamic Time-Delay Model of Infectious Diseases |
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| TANG Rong-rong.The Analysis for a Class of Dynamic Time-Delay Model of Infectious Diseases[J].Journal of Biomathematics,2010(2):287-293. |
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| Authors: | TANG Rong-rong |
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| Institution: | TANG Rong-rong (1 Faculty of Science, Huzhou Teachers College, Huzhou Zhejiang 313000 China) (2 Division of Computational Science, E- Institute of Shanghai Universities at SJTU, Shanghai 200240 China) |
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| Abstract: | The dynamic model for the infectious diseases is considered. Using the perturbed theory, correspondingly, the nonlinear time-delayed problems are studied. The asymptotic expansion of the proportion for total number of people infected by the infections diseases is obtained. The infection and action from infectious period and latent period for the propagation of the in- fectious diseases is discovered. Thus, under this paper an available method is given to estimate the solution of some class of nonlinear time-delayed problems. |
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| Keywords: | Infectious period Latent period Dynamic model Perturbation Time-delay |
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